A017750 Binomial coefficients C(n,86).

1, 87, 3828, 113564, 2555190, 46504458, 713068356, 9473622444, 111315063717, 1174992339235, 11279926456656, 99468442390512, 812325612855848, 6186171974825304, 44186942677323600, 297525414027312240

Offset: 86

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Michael De Vlieger, Table of n, a(n) for n = 86..10000

Crossrefs

Cf. A001787, A242091.

Programs

GAP

List([86..102], n->Binomial(n,86)); # Muniru A Asiru, Nov 11 2018

Magma

[Binomial(n,86): n in [86..105]]; // G. C. Greubel, Nov 10 2018

Maple

seq(binomial(n,86),n=86..102); # Muniru A Asiru, Nov 11 2018

Mathematica

Array[Binomial[#, 86] &, 16, 86] (* Michael De Vlieger, Jul 06 2018 *)

PARI

for(n=86, 105, print1(binomial(n,86), ", ")) \\ G. C. Greubel, Nov 10 2018

Sage

[binomial(n, 86) for n in range(86,102)] # Zerinvary Lajos, May 23 2009

Formula

From G. C. Greubel, Nov 10 2018: (Start)

G.f.: x^86/(1-x)^87.

E.g.f.: x^86*exp(x)/86!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=86} 1/a(n) = 86/85.

Sum_{n>=86} (-1)^n/a(n) = A001787(86)*log(2) - A242091(86)/85! = 3326963855579459488791396352*log(2) - 6767419353446990359387534777193432446042710369441370775542121 / 2934604271236810227105403453525425 = 0.9887585457... (End)